✦ LIBER ✦

Notes on the limit equation of vortex motion for the Ginzburg-Landau equation with Neumann condition

✍ Scribed by Shuichi Jimbo; Yoshihisa Morita

Publisher: Japan Society for Industrial and Applied Mathematics
Year: 2001
Tongue: English
Weight: 861 KB
Volume: 18
Category: Article
ISSN: 0916-7005
DOI: 10.1007/bf03168587

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Stability of solutions to the ginzburg-l

Stability of solutions to the ginzburg-landau equation with neumann condition

✍ Yoshihisa Morita 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 535 KB

Stable Solutions with Zeros to the Ginzb

Stable Solutions with Zeros to the Ginzburg–Landau Equation with Neumann Boundary Condition

✍ Shuichi Jimbo; Yoshihisa Morita 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 796 KB

This paper is devoted to the Ginzburg Landau equation 28+\*(1& |8| 2 ) 8=0, 8=u 1 +iu 2 in a bounded domain 0/R n with the homogeneous Neumann boundary condition. The previous works [12 14] showed that for large \* there exist stable non-constant solutions with no zeros in domains, which are topolog

Vortex pinning with bounded fields for t

Vortex pinning with bounded fields for the Ginzburg–Landau equation

✍ Nelly Andre; Patricia Bauman; Dan Phillips 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 222 KB

We investigate vortex pinning in solutions to the Ginzburg-Landau equation. The coefficient, a(x), in the Ginzburg-Landau free energy modeling non-uniform superconductivity is nonnegative and is allowed to vanish at a finite number of points. For a sufficiently large applied magnetic field and for a

Limit behavior of global attractors for

Limit behavior of global attractors for the complex Ginzburg–Landau equation on infinite lattices

✍ Caidi Zhao; Shengfan Zhou 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 265 KB

In this work, the authors first show the existence of global attractors A ε for the following lattice complex Ginzburg-Landau equation: and A 0 for the following lattice Schrödinger equation: Then they prove that the solutions of the lattice complex Ginzburg-Landau equation converge to that of the

The limit behavior of solutions for the

The limit behavior of solutions for the Cauchy problem of the complex Ginzburg-Landau equation

✍ Baoxiang Wang 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 251 KB 👁 1 views

On the nonlinear stability of plane wave

On the nonlinear stability of plane waves for the ginzburg-landau equation

✍ Todd Kapitula 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 406 KB 👁 1 views

1 consider the nonlinear stability of plane wave solutions to a Ginzburg-Landau equation with additional fifth-order terms and cubic terms containing spatial derivatives. 1 show that, under the constraint that the diffusion coefficient be real, these waves are stable. Furthermore, it is shown that t